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<div class="title">test_decoherence.cpp</div>  </div>
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<a href="test__decoherence_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160; </div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#include &quot;catch.hpp&quot;</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="QuEST_8h.html">QuEST.h</a>&quot;</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="utilities_8hpp.html">utilities.hpp</a>&quot;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;random&gt;</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160; </div>
<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">    9</a></span>&#160;<span class="preprocessor">#define PREPARE_TEST(qureg, ref) \</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">    Qureg qureg = createDensityQureg(NUM_QUBITS, QUEST_ENV); \</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">    initDebugState(qureg); \</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">    QMatrix ref = toQMatrix(qureg);</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">/* allows concise use of Contains in catch&#39;s REQUIRE_THROWS_WITH */</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">using</span> Catch::Matchers::Contains;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160; </div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160; </div>
<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">   23</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixDamping&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160; </div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, 1);</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <a class="code" href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a>(qureg, target, prob);</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        </div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="comment">// ref -&gt; kraus0 ref kraus0^dagger + kraus1 ref kraus1^dagger</span></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> kraus0{{1,0},{0,sqrt(1-prob)}};</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> rho0 = ref;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(rho0, target, kraus0);</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> kraus1{{0,sqrt(prob)},{0,0}};</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> rho1 = ref;</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(rho1, target, kraus1);</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        ref = rho0 + rho1;</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        </div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref) );</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    }</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    SECTION( <span class="stringliteral">&quot;validation &quot;</span>) {</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a>(qureg, target, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a>(qureg, 0, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a>(qureg, 0, 1.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        }</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            </div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a>(vec, 0, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;}</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160; </div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160; </div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160; </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="group__unittest.html#ga3c9d9dcf1fb89d6a95ec46fbdc2a6efa">   73</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixDensityMatrix&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    </div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> qureg1 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <a class="code" href="structQureg.html">Qureg</a> qureg2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(qureg1);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(qureg2);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(qureg1);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(qureg2);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    </div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="comment">// test p in {0, 1} and 10 random values in (0,1)</span></div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = GENERATE( 0., 1., take(10, random(0.,1.)) );</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(qureg1, prob, qureg2);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// ensure target qureg modified correctly</span></div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        ref1 = (1-prob)*ref1 + (prob)*ref2;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg1, ref1) );</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        </div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// enure other qureg was not modified</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg2, ref2) );</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    }</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        </div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        SECTION( <span class="stringliteral">&quot;probabilities&quot;</span>) {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            </div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = GENERATE( -0.1, 1.1 );</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(qureg1, prob, qureg2), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        }</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        SECTION( <span class="stringliteral">&quot;density matrices&quot;</span> ) {</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            <span class="comment">// one is statevec </span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> state1 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(qureg1.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(qureg1, 0, state1), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(state1, 0, qureg1), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            </div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="comment">// both are statevec</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> state2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(qureg1.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(state1, 0, state2), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(state1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(state2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        }</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        SECTION( <span class="stringliteral">&quot;matching dimensions&quot;</span> ) {</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            </div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> qureg3 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(1 + qureg1.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(qureg1, 0, qureg3), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) );</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a>(qureg3, 0, qureg1), Contains(<span class="stringliteral">&quot;Dimensions&quot;</span>) );</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    }</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;}</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160; </div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160; </div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160; </div>
<div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="group__unittest.html#ga9c424dd4c51660f7a609a2937cc71fbb">  134</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixDephasing&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    </div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160; </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness &quot;</span> ) {</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        </div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, 1/2.);</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <a class="code" href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a>(qureg, target, prob);</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        </div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="comment">// ref -&gt; (1 - prob) ref + prob Z ref Z</span></div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> phaseRef = ref;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(phaseRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1,0},{0,-1}}); <span class="comment">// Z ref Z</span></div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        ref = ((1 - prob) * ref) + (prob * phaseRef);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        </div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref) );</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    }</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    SECTION( <span class="stringliteral">&quot;validation &quot;</span>) {</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        </div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            </div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a>(qureg, target, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            </div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        }</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;            </div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a>(qureg, 0, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a>(qureg, 0, .6), Contains(<span class="stringliteral">&quot;probability&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;cannot exceed 1/2&quot;</span>) );</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            </div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a>(vec, 0, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        }</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    }</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;}</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160; </div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160; </div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160; </div>
<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="group__unittest.html#gae4e453a9c519926b39e3c45a6b1402d2">  180</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixDepolarising&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    </div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160; </div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness &quot;</span> ) {</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, 3/4.);</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        <a class="code" href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a>(qureg, target, prob);</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> xRef = ref;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(xRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,1},{1,0}}); <span class="comment">// X ref X</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> yRef = ref;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(yRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,-1i},{1i,0}}); <span class="comment">// Y ref Y</span></div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zRef = ref;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(zRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1,0},{0,-1}}); <span class="comment">// Z ref Z</span></div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        ref = ((1 - prob) * ref) + ((prob/3.) * ( xRef + yRef + zRef));</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref) );</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    }</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    SECTION( <span class="stringliteral">&quot;validation &quot;</span>) {</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;            </div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a>(qureg, target, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;            </div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        }</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            </div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a>(qureg, 0, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a>(qureg, 0, .76), Contains(<span class="stringliteral">&quot;probability&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;cannot exceed 3/4&quot;</span>) );</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;        }</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            </div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a>(vec, 0, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        }</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;    }</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;}</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160; </div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160; </div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160; </div>
<div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="group__unittest.html#gaec7d511066d9bb4da613fb06d5ce8e22">  229</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixMultiQubitKrausMap&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;    <span class="comment">// figure out max-num (inclusive) targs allowed by hardware backend</span></div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;    <span class="comment">// (each node must contain as 2^(2*numTargs) amps)</span></div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;    <span class="keywordtype">int</span> maxNumTargs = <a class="code" href="group__testutilities.html#ga267884197cf7f1d428021cb12a57360c">calcLog2</a>(qureg.numAmpsPerChunk) / 2;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;    </div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;        </div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;        <span class="comment">/* note that this function incurs a stack overhead when numTargs &lt; 4,</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="comment">         * and a heap overhead when numTargs &gt;= 4</span></div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="comment">         */</span></div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;         </div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;        <span class="keywordtype">int</span> numTargs = GENERATE_COPY( range(1,maxNumTargs+1) ); <span class="comment">// inclusive upper bound</span></div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        </div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;        <span class="comment">// note this is very expensive to try every arrangement (2 min runtime for numTargs=5 alone)</span></div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;        <span class="keywordtype">int</span>* targs = GENERATE_COPY( <a class="code" href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a>(range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>), numTargs) );</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;        </div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;        <span class="comment">// try the min and max number of operators, and 2 random numbers </span></div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;        <span class="comment">// (there are way too many to try all!)</span></div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;        <span class="keywordtype">int</span> maxNumOps = (2*numTargs)*(2*numTargs);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;        <span class="keywordtype">int</span> numOps = GENERATE_COPY( 1, maxNumOps, take(2,random(1,maxNumOps)) );</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;        </div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;        <span class="comment">// use a new random map</span></div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(numTargs, numOps);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                </div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;        <span class="comment">// create map in QuEST datatypes</span></div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;        <a class="code" href="structComplexMatrixN.html">ComplexMatrixN</a> ops[numOps];</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++) {</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            ops[i] = <a class="code" href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a>(numTargs);</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;            <a class="code" href="group__testutilities.html#ga7f83695bea7d0332a577bca017dbb03c">toComplexMatrixN</a>(matrs[i], ops[i]);</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;        }</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;        <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, numTargs, ops, numOps);</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;                </div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;        <span class="comment">// set ref -&gt; K_i ref K_i^dagger</span></div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matrRefs[numOps];</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++) {</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;            matrRefs[i] = ref;</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;            <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(matrRefs[i], targs, numTargs, matrs[i]);</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;        }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;        ref = <a class="code" href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a>(ref.size());</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;            ref += matrRefs[i];</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        </div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref, 1E2*REAL_EPS) );</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;        </div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;        <span class="comment">// cleanup QuEST datatypes</span></div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            <a class="code" href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a>(ops[i]);</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;    }</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        </div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        SECTION( <span class="stringliteral">&quot;repetition of target&quot;</span> ) {</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;            </div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;            <span class="comment">// make valid targets</span></div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;            <span class="keywordtype">int</span> targs[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;                </div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;            <span class="comment">// duplicate one</span></div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;            <span class="keywordtype">int</span> badInd = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;            <span class="keywordtype">int</span> copyInd = GENERATE_COPY( filter([=](<span class="keywordtype">int</span> i){ <span class="keywordflow">return</span> i!=badInd; }, range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>)) );</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;            targs[badInd] = targs[copyInd];</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;            </div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, NULL, 1), Contains(<span class="stringliteral">&quot;target qubits&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;unique&quot;</span>) );</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        }</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit indices&quot;</span> ) { </div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;            </div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;            <span class="comment">// make valid targets</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;            <span class="keywordtype">int</span> targs[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;            </div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;            <span class="comment">// make one invalid </span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;            targs[GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) )] = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;            </div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, NULL, 1), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;        }</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;        SECTION( <span class="stringliteral">&quot;number of operators&quot;</span> ) {</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;            </div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;            <span class="keywordtype">int</span> numTargs = GENERATE_COPY( range(1,maxNumTargs+1) );</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;            <span class="keywordtype">int</span> maxNumOps = (2*numTargs)*(2*numTargs);</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE_REF( -1, 0, maxNumOps + 1 );</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;                        </div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;            <span class="keywordtype">int</span> targs[numTargs];</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++)</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, numTargs, NULL, numOps), Contains(<span class="stringliteral">&quot;operators may be specified&quot;</span>) );</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;        }</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        SECTION( <span class="stringliteral">&quot;initialisation of operators&quot;</span> ) {</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;            </div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;            <span class="comment">/* compilers don&#39;t auto-initialise to NULL; the below circumstance </span></div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;<span class="comment">             * only really occurs when &#39;malloc&#39; returns NULL in createComplexMatrixN, </span></div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;<span class="comment">             * which actually triggers its own validation. Hence this test is useless </span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;<span class="comment">             * currently.</span></div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;<span class="comment">             */</span></div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;             </div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;            <span class="keywordtype">int</span> numTargs = <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>;</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;            <span class="keywordtype">int</span> numOps = (2*numTargs)*(2*numTargs);</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;            </div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;            <span class="comment">// no need to initialise ops, but set their attribs correct to avoid triggering other validation</span></div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;            <a class="code" href="structComplexMatrixN.html">ComplexMatrixN</a> ops[numOps];</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;                ops[i].numQubits = numTargs;</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;            </div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;            <span class="comment">// make one of the max-ops explicitly NULL</span></div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;            ops[GENERATE_COPY( range(0,numTargs) )].<a class="code" href="structComplexMatrixN.html#a446e8a077597e4f76049d547df0c9738">real</a> = NULL;</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;             </div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;            <span class="keywordtype">int</span> targs[numTargs];</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++)</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;               </div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, numTargs, ops, numOps), Contains(<span class="stringliteral">&quot;ComplexMatrixN&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;created&quot;</span>) );</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;        }</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;        SECTION( <span class="stringliteral">&quot;dimension of operators&quot;</span> ) {</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;        </div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;            <span class="comment">// make valid (dimension-wise) max-qubits Kraus map</span></div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;            <span class="keywordtype">int</span> numTargs = <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>;</div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;            <span class="keywordtype">int</span> numOps = (2*numTargs)*(2*numTargs);</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;            <a class="code" href="structComplexMatrixN.html">ComplexMatrixN</a> ops[numOps];</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;                ops[i] = <a class="code" href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a>(numTargs);</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;            </div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;            <span class="comment">// make one have wrong-dimensions </span></div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;            <span class="keywordtype">int</span> badInd = GENERATE_COPY( range(0,numTargs) );</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;            <a class="code" href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a>(ops[badInd]);</div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;            ops[badInd] = <a class="code" href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a>(numTargs - 1);</div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;            </div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;            <span class="keywordtype">int</span> targs[numTargs];</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++)</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;                </div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, numTargs, ops, numOps), Contains(<span class="stringliteral">&quot;same number of qubits&quot;</span>) );</div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;            </div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;                <a class="code" href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a>(ops[i]);</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;        }</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;        SECTION( <span class="stringliteral">&quot;trace preserving&quot;</span> ) {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;            </div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;            <span class="keywordtype">int</span> numTargs = GENERATE_COPY( range(1,maxNumTargs+1) );</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;            <span class="keywordtype">int</span> maxNumOps = (2*numTargs) * (2*numTargs);</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE_COPY( 1, 2, maxNumOps );</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;            </div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;            <span class="comment">// generate a valid map</span></div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;            std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(numTargs, numOps);</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;            <a class="code" href="structComplexMatrixN.html">ComplexMatrixN</a> ops[numOps];</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++) {</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;                ops[i] = <a class="code" href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a>(numTargs);</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;                <a class="code" href="group__testutilities.html#ga7f83695bea7d0332a577bca017dbb03c">toComplexMatrixN</a>(matrs[i], ops[i]);</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;            }</div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;            </div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;            <span class="comment">// make only one invalid</span></div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;            ops[GENERATE_REF( range(0,numOps) )].<a class="code" href="structComplexMatrixN.html#a446e8a077597e4f76049d547df0c9738">real</a>[0][0] = 0;</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;            </div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;            <span class="keywordtype">int</span> targs[numTargs];</div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numTargs; i++)</div>
<div class="line"><a name="l00391"></a><span class="lineno">  391</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;            </div>
<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, numTargs, ops, numOps), Contains(<span class="stringliteral">&quot;trace preserving&quot;</span>) );</div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160; </div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;                <a class="code" href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a>(ops[i]);</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;        }</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;            </div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> statevec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;            </div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;            <span class="keywordtype">int</span> targs[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;                </div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(statevec, targs, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, NULL, 1), Contains(<span class="stringliteral">&quot;valid only for density matrices&quot;</span>) );</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(statevec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;            </div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;        }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;        SECTION( <span class="stringliteral">&quot;operator fits in node&quot;</span> ) {</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;            </div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            <span class="comment">// each node requires (2 numTargs)^2 amplitudes</span></div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;            <span class="keywordtype">int</span> minAmps = (2*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) * (2*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;            </div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;            <span class="comment">// make valid targets to avoid triggering target validation</span></div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;            <span class="keywordtype">int</span> targs[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;                targs[i] = i;</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;            </div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;            <span class="comment">// make a simple Identity map    </span></div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;            <a class="code" href="structComplexMatrixN.html">ComplexMatrixN</a> ops[] = {<a class="code" href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>)};</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;(1&lt;&lt;<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>); i++)</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;                ops[0].real[i][i] = 1;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;            </div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;            <span class="comment">// fake a smaller qureg </span></div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;            qureg.numAmpsPerChunk = minAmps - 1;</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a>(qureg, targs, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, ops, 1), Contains(<span class="stringliteral">&quot;targets too many qubits&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;cannot all fit&quot;</span>) );</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;            </div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;            <a class="code" href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a>(ops[0]);</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;        }</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;    }</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;}</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160; </div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160; </div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160; </div>
<div class="line"><a name="l00442"></a><span class="lineno"><a class="line" href="group__unittest.html#ga4e1cffea3db565911c48cae1d6d08a64">  442</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixPauli&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    </div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;        </div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;        </div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;        </div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;        <span class="comment">// randomly generate valid pauli-error probabilities</span></div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> probs[3];</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> max0 = 1/2.;                 <span class="comment">// satisfies p1 &lt; 1 - py</span></div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160;        probs[0] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, max0);</div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> max1 = (max0 - probs[0])/2.; <span class="comment">// p2 can use half of p1&#39;s &quot;unused space&quot;</span></div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;        probs[1] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, max1);</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> max2 = (max1 - probs[1])/2.; <span class="comment">// p3 can use half of p2&#39;s &quot;unused space&quot;</span></div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;        probs[2] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, max2);</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;        </div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;        <span class="comment">// uniformly randomly assign probs (bound to target)</span></div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;        <span class="keywordtype">int</span> inds[3] = {0,1,2};</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;        std::shuffle(inds,inds+3, std::default_random_engine(1E5 * target));</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> probX = probs[inds[0]];           <span class="comment">// seed:target shows no variation</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> probY = probs[inds[1]];</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> probZ = probs[inds[2]];</div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160; </div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;        <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target, probX, probY, probZ);</div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;        </div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> xRef = ref;</div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(xRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,1},{1,0}}); <span class="comment">// X ref X</span></div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> yRef = ref;</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(yRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,-1i},{1i,0}}); <span class="comment">// Y ref Y</span></div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zRef = ref;</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(zRef, target, <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1,0},{0,-1}}); <span class="comment">// Z ref Z</span></div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;        ref = ((1 - probX - probY - probZ) * ref) +</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;              (probX * xRef) + (probY * yRef) + (probZ * zRef);</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;        </div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref) );</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;    }</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160;        </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;            </div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target, 0, 0, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;            </div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;        }</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;                </div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;            <span class="keywordtype">int</span> target = 0;</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;            </div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;            <span class="comment">// probs clearly must be in [0, 1]</span></div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target, -.1,   0,   0), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target,   0, -.1,   0), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target,   0,   0, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;            </div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;            <span class="comment">// max single-non-zero-prob is 0.5</span></div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target, .6,  0,  0), Contains(<span class="stringliteral">&quot;cannot exceed the probability&quot;</span>) );</div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target,  0, .6,  0), Contains(<span class="stringliteral">&quot;cannot exceed the probability&quot;</span>) );</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target,  0,  0, .6), Contains(<span class="stringliteral">&quot;cannot exceed the probability&quot;</span>) );</div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;            </div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;            <span class="comment">// must satisfy px, py, pz &lt; 1 - px - py - pz</span></div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(qureg, target,  .3,  .3, .3), Contains(<span class="stringliteral">&quot;cannot exceed the probability&quot;</span>) );</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;        }</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;            </div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a>(vec, 0, 0, 0, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;        }</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;    }</div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;}</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160; </div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160; </div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160; </div>
<div class="line"><a name="l00520"></a><span class="lineno"><a class="line" href="group__unittest.html#gaaca97157c5296fa1312c8daa3ac89864">  520</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixKrausMap&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;    </div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;    </div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160;        </div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160;        <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;        <span class="keywordtype">int</span> numOps = GENERATE( range(1,5) ); <span class="comment">// max 4 inclusive</span></div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;        std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(1, numOps);</div>
<div class="line"><a name="l00529"></a><span class="lineno">  529</span>&#160;        </div>
<div class="line"><a name="l00530"></a><span class="lineno">  530</span>&#160;        <a class="code" href="structComplexMatrix2.html">ComplexMatrix2</a> ops[numOps];</div>
<div class="line"><a name="l00531"></a><span class="lineno">  531</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00532"></a><span class="lineno">  532</span>&#160;            ops[i] = <a class="code" href="group__testutilities.html#ga731a7a71755c25ebe96e742e3fbe5812">toComplexMatrix2</a>(matrs[i]);</div>
<div class="line"><a name="l00533"></a><span class="lineno">  533</span>&#160;        <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(qureg, target, ops, numOps);</div>
<div class="line"><a name="l00534"></a><span class="lineno">  534</span>&#160;        </div>
<div class="line"><a name="l00535"></a><span class="lineno">  535</span>&#160;        <span class="comment">// set ref -&gt; K_i ref K_i^dagger</span></div>
<div class="line"><a name="l00536"></a><span class="lineno">  536</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matrRefs[numOps];</div>
<div class="line"><a name="l00537"></a><span class="lineno">  537</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++) {</div>
<div class="line"><a name="l00538"></a><span class="lineno">  538</span>&#160;            matrRefs[i] = ref;</div>
<div class="line"><a name="l00539"></a><span class="lineno">  539</span>&#160;            <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(matrRefs[i], target, matrs[i]);</div>
<div class="line"><a name="l00540"></a><span class="lineno">  540</span>&#160;        }</div>
<div class="line"><a name="l00541"></a><span class="lineno">  541</span>&#160;        ref = <a class="code" href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a>(ref.size());</div>
<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;            ref += matrRefs[i];</div>
<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        </div>
<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref, 10*REAL_EPS) );</div>
<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;    }</div>
<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00548"></a><span class="lineno">  548</span>&#160;        </div>
<div class="line"><a name="l00549"></a><span class="lineno">  549</span>&#160;        SECTION( <span class="stringliteral">&quot;number of operators&quot;</span> ) {</div>
<div class="line"><a name="l00550"></a><span class="lineno">  550</span>&#160;            </div>
<div class="line"><a name="l00551"></a><span class="lineno">  551</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE( 0, 5 );</div>
<div class="line"><a name="l00552"></a><span class="lineno">  552</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(qureg, 0, NULL, numOps), Contains(<span class="stringliteral">&quot;operators&quot;</span>) );</div>
<div class="line"><a name="l00553"></a><span class="lineno">  553</span>&#160;        }</div>
<div class="line"><a name="l00554"></a><span class="lineno">  554</span>&#160;        SECTION( <span class="stringliteral">&quot;trace preserving&quot;</span> ) {</div>
<div class="line"><a name="l00555"></a><span class="lineno">  555</span>&#160;            </div>
<div class="line"><a name="l00556"></a><span class="lineno">  556</span>&#160;            <span class="comment">// valid Kraus map</span></div>
<div class="line"><a name="l00557"></a><span class="lineno">  557</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE( range(1,5) ); <span class="comment">// max 4 inclusive</span></div>
<div class="line"><a name="l00558"></a><span class="lineno">  558</span>&#160;            std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(1, numOps);</div>
<div class="line"><a name="l00559"></a><span class="lineno">  559</span>&#160;            <a class="code" href="structComplexMatrix2.html">ComplexMatrix2</a> ops[numOps];</div>
<div class="line"><a name="l00560"></a><span class="lineno">  560</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00561"></a><span class="lineno">  561</span>&#160;                ops[i] = <a class="code" href="group__testutilities.html#ga731a7a71755c25ebe96e742e3fbe5812">toComplexMatrix2</a>(matrs[i]);</div>
<div class="line"><a name="l00562"></a><span class="lineno">  562</span>&#160;                </div>
<div class="line"><a name="l00563"></a><span class="lineno">  563</span>&#160;            <span class="comment">// make invalid</span></div>
<div class="line"><a name="l00564"></a><span class="lineno">  564</span>&#160;            ops[GENERATE_REF( range(0,numOps) )].<a class="code" href="structComplexMatrix2.html#a3ea98d545b67a190ee6abe936c72076f">real</a>[0][0] = 0;</div>
<div class="line"><a name="l00565"></a><span class="lineno">  565</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(qureg, 0, ops, numOps), Contains(<span class="stringliteral">&quot;trace preserving&quot;</span>) );</div>
<div class="line"><a name="l00566"></a><span class="lineno">  566</span>&#160;            </div>
<div class="line"><a name="l00567"></a><span class="lineno">  567</span>&#160;        }</div>
<div class="line"><a name="l00568"></a><span class="lineno">  568</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00569"></a><span class="lineno">  569</span>&#160;            </div>
<div class="line"><a name="l00570"></a><span class="lineno">  570</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00571"></a><span class="lineno">  571</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(qureg, target, NULL, 1), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00572"></a><span class="lineno">  572</span>&#160;        }</div>
<div class="line"><a name="l00573"></a><span class="lineno">  573</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00574"></a><span class="lineno">  574</span>&#160;            </div>
<div class="line"><a name="l00575"></a><span class="lineno">  575</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00576"></a><span class="lineno">  576</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(vec, 0, NULL, 1), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00577"></a><span class="lineno">  577</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00578"></a><span class="lineno">  578</span>&#160;        }</div>
<div class="line"><a name="l00579"></a><span class="lineno">  579</span>&#160;        SECTION( <span class="stringliteral">&quot;operators fit in node&quot;</span> ) {</div>
<div class="line"><a name="l00580"></a><span class="lineno">  580</span>&#160;            </div>
<div class="line"><a name="l00581"></a><span class="lineno">  581</span>&#160;            qureg.numAmpsPerChunk = 3; <span class="comment">// min 4</span></div>
<div class="line"><a name="l00582"></a><span class="lineno">  582</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a>(qureg, 0, NULL, 1), Contains(<span class="stringliteral">&quot;targets too many qubits&quot;</span>) );</div>
<div class="line"><a name="l00583"></a><span class="lineno">  583</span>&#160;        }        </div>
<div class="line"><a name="l00584"></a><span class="lineno">  584</span>&#160;    }</div>
<div class="line"><a name="l00585"></a><span class="lineno">  585</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00586"></a><span class="lineno">  586</span>&#160;}</div>
<div class="line"><a name="l00587"></a><span class="lineno">  587</span>&#160; </div>
<div class="line"><a name="l00588"></a><span class="lineno">  588</span>&#160; </div>
<div class="line"><a name="l00589"></a><span class="lineno">  589</span>&#160; </div>
<div class="line"><a name="l00594"></a><span class="lineno"><a class="line" href="group__unittest.html#gab377b0280d26028a2405eb883003fe10">  594</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixTwoQubitDephasing&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00595"></a><span class="lineno">  595</span>&#160;    </div>
<div class="line"><a name="l00596"></a><span class="lineno">  596</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00597"></a><span class="lineno">  597</span>&#160;    </div>
<div class="line"><a name="l00598"></a><span class="lineno">  598</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00599"></a><span class="lineno">  599</span>&#160;        </div>
<div class="line"><a name="l00600"></a><span class="lineno">  600</span>&#160;        <span class="keywordtype">int</span> targ1 = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00601"></a><span class="lineno">  601</span>&#160;        <span class="keywordtype">int</span> targ2 = GENERATE_COPY( filter([=](<span class="keywordtype">int</span> t){ <span class="keywordflow">return</span> t!=targ1; }, range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>)) );</div>
<div class="line"><a name="l00602"></a><span class="lineno">  602</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, 3/4.);</div>
<div class="line"><a name="l00603"></a><span class="lineno">  603</span>&#160;        </div>
<div class="line"><a name="l00604"></a><span class="lineno">  604</span>&#160;        <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, targ1, targ2, prob);</div>
<div class="line"><a name="l00605"></a><span class="lineno">  605</span>&#160;        </div>
<div class="line"><a name="l00606"></a><span class="lineno">  606</span>&#160;        <span class="comment">// ref -&gt; (1 - prob) ref + prob/3 (Z1 ref Z1 + Z2 ref Z2 + Z1 Z2 ref Z1 Z2)</span></div>
<div class="line"><a name="l00607"></a><span class="lineno">  607</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zMatr{{1,0},{0,-1}};</div>
<div class="line"><a name="l00608"></a><span class="lineno">  608</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> z1Ref = ref;</div>
<div class="line"><a name="l00609"></a><span class="lineno">  609</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(z1Ref, targ1, zMatr); <span class="comment">// Z1 ref Z1</span></div>
<div class="line"><a name="l00610"></a><span class="lineno">  610</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> z2Ref = ref;</div>
<div class="line"><a name="l00611"></a><span class="lineno">  611</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(z2Ref, targ2, zMatr); <span class="comment">// Z2 ref Z2</span></div>
<div class="line"><a name="l00612"></a><span class="lineno">  612</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> z1z2Ref = ref;</div>
<div class="line"><a name="l00613"></a><span class="lineno">  613</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(z1z2Ref, targ1, zMatr);</div>
<div class="line"><a name="l00614"></a><span class="lineno">  614</span>&#160;        <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(z1z2Ref, targ2, zMatr); <span class="comment">// Z1 Z2 ref Z1 Z2</span></div>
<div class="line"><a name="l00615"></a><span class="lineno">  615</span>&#160;        ref = ((1 - prob) * ref) + (prob/3.) * (z1Ref + z2Ref + z1z2Ref);</div>
<div class="line"><a name="l00616"></a><span class="lineno">  616</span>&#160;        </div>
<div class="line"><a name="l00617"></a><span class="lineno">  617</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref) );</div>
<div class="line"><a name="l00618"></a><span class="lineno">  618</span>&#160;    }</div>
<div class="line"><a name="l00619"></a><span class="lineno">  619</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00620"></a><span class="lineno">  620</span>&#160;        </div>
<div class="line"><a name="l00621"></a><span class="lineno">  621</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit indices&quot;</span> ) {</div>
<div class="line"><a name="l00622"></a><span class="lineno">  622</span>&#160;            </div>
<div class="line"><a name="l00623"></a><span class="lineno">  623</span>&#160;            <span class="keywordtype">int</span> targ = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00624"></a><span class="lineno">  624</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, 0, targ, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00625"></a><span class="lineno">  625</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, targ, 0, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00626"></a><span class="lineno">  626</span>&#160;        }</div>
<div class="line"><a name="l00627"></a><span class="lineno">  627</span>&#160;        SECTION( <span class="stringliteral">&quot;target collision&quot;</span> ) {</div>
<div class="line"><a name="l00628"></a><span class="lineno">  628</span>&#160;            </div>
<div class="line"><a name="l00629"></a><span class="lineno">  629</span>&#160;            <span class="keywordtype">int</span> targ = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00630"></a><span class="lineno">  630</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, targ, targ, 0), Contains(<span class="stringliteral">&quot;target&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;unique&quot;</span>) );</div>
<div class="line"><a name="l00631"></a><span class="lineno">  631</span>&#160;        }</div>
<div class="line"><a name="l00632"></a><span class="lineno">  632</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00633"></a><span class="lineno">  633</span>&#160;            </div>
<div class="line"><a name="l00634"></a><span class="lineno">  634</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, 0, 1, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00635"></a><span class="lineno">  635</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(qureg, 0, 1, 3/4. + .01), Contains(<span class="stringliteral">&quot;probability&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;cannot exceed 3/4&quot;</span>) );</div>
<div class="line"><a name="l00636"></a><span class="lineno">  636</span>&#160;        }</div>
<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;            </div>
<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a>(vec, 0, 1, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;        }</div>
<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;    }</div>
<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;}</div>
<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160; </div>
<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160; </div>
<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160; </div>
<div class="line"><a name="l00653"></a><span class="lineno"><a class="line" href="group__unittest.html#ga126f891ab958e59fbb3add97c5a519e3">  653</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixTwoQubitDepolarising&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;    </div>
<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;    </div>
<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;        </div>
<div class="line"><a name="l00659"></a><span class="lineno">  659</span>&#160;        <span class="keywordtype">int</span> targ1 = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00660"></a><span class="lineno">  660</span>&#160;        <span class="keywordtype">int</span> targ2 = GENERATE_COPY( filter([=](<span class="keywordtype">int</span> t){ <span class="keywordflow">return</span> t!=targ1; }, range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>)) );</div>
<div class="line"><a name="l00661"></a><span class="lineno">  661</span>&#160;        <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(0, 15/16.);</div>
<div class="line"><a name="l00662"></a><span class="lineno">  662</span>&#160;        </div>
<div class="line"><a name="l00663"></a><span class="lineno">  663</span>&#160;        <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, targ1, targ2, prob);</div>
<div class="line"><a name="l00664"></a><span class="lineno">  664</span>&#160;        </div>
<div class="line"><a name="l00665"></a><span class="lineno">  665</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> paulis[4] = {</div>
<div class="line"><a name="l00666"></a><span class="lineno">  666</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1,0},{0,1}},       <span class="comment">// I </span></div>
<div class="line"><a name="l00667"></a><span class="lineno">  667</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,1},{1,0}},       <span class="comment">// X</span></div>
<div class="line"><a name="l00668"></a><span class="lineno">  668</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{0,-1i},{1i,0}},    <span class="comment">// Y</span></div>
<div class="line"><a name="l00669"></a><span class="lineno">  669</span>&#160;            <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1,0},{0,-1}}       <span class="comment">// Z</span></div>
<div class="line"><a name="l00670"></a><span class="lineno">  670</span>&#160;        };</div>
<div class="line"><a name="l00671"></a><span class="lineno">  671</span>&#160;        </div>
<div class="line"><a name="l00672"></a><span class="lineno">  672</span>&#160;        <span class="keywordtype">int</span> targs[2] = {targ1, targ2};</div>
<div class="line"><a name="l00673"></a><span class="lineno">  673</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> refInit = ref;</div>
<div class="line"><a name="l00674"></a><span class="lineno">  674</span>&#160;        ref = (1 - (16/15.)*prob) * ref;</div>
<div class="line"><a name="l00675"></a><span class="lineno">  675</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;4; i++) {</div>
<div class="line"><a name="l00676"></a><span class="lineno">  676</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j&lt;4; j++) {</div>
<div class="line"><a name="l00677"></a><span class="lineno">  677</span>&#160;                <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> term = refInit;</div>
<div class="line"><a name="l00678"></a><span class="lineno">  678</span>&#160;                <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(term, targs, 2,</div>
<div class="line"><a name="l00679"></a><span class="lineno">  679</span>&#160;                    <a class="code" href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a>(paulis[i], paulis[j]));</div>
<div class="line"><a name="l00680"></a><span class="lineno">  680</span>&#160;                ref += (prob/15.) * term;</div>
<div class="line"><a name="l00681"></a><span class="lineno">  681</span>&#160;            }</div>
<div class="line"><a name="l00682"></a><span class="lineno">  682</span>&#160;        }</div>
<div class="line"><a name="l00683"></a><span class="lineno">  683</span>&#160;        </div>
<div class="line"><a name="l00684"></a><span class="lineno">  684</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref, 1E4*REAL_EPS) );</div>
<div class="line"><a name="l00685"></a><span class="lineno">  685</span>&#160;    }</div>
<div class="line"><a name="l00686"></a><span class="lineno">  686</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00687"></a><span class="lineno">  687</span>&#160;        </div>
<div class="line"><a name="l00688"></a><span class="lineno">  688</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit indices&quot;</span> ) {</div>
<div class="line"><a name="l00689"></a><span class="lineno">  689</span>&#160;            </div>
<div class="line"><a name="l00690"></a><span class="lineno">  690</span>&#160;            <span class="keywordtype">int</span> targ = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00691"></a><span class="lineno">  691</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, 0, targ, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00692"></a><span class="lineno">  692</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, targ, 0, 0), Contains(<span class="stringliteral">&quot;Invalid target&quot;</span>) );</div>
<div class="line"><a name="l00693"></a><span class="lineno">  693</span>&#160;        }</div>
<div class="line"><a name="l00694"></a><span class="lineno">  694</span>&#160;        SECTION( <span class="stringliteral">&quot;target collision&quot;</span> ) {</div>
<div class="line"><a name="l00695"></a><span class="lineno">  695</span>&#160;            </div>
<div class="line"><a name="l00696"></a><span class="lineno">  696</span>&#160;            <span class="keywordtype">int</span> targ = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00697"></a><span class="lineno">  697</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, targ, targ, 0), Contains(<span class="stringliteral">&quot;target&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;unique&quot;</span>) );</div>
<div class="line"><a name="l00698"></a><span class="lineno">  698</span>&#160;        }</div>
<div class="line"><a name="l00699"></a><span class="lineno">  699</span>&#160;        SECTION( <span class="stringliteral">&quot;probability&quot;</span> ) {</div>
<div class="line"><a name="l00700"></a><span class="lineno">  700</span>&#160;            </div>
<div class="line"><a name="l00701"></a><span class="lineno">  701</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, 0, 1, -.1), Contains(<span class="stringliteral">&quot;Probabilities&quot;</span>) );</div>
<div class="line"><a name="l00702"></a><span class="lineno">  702</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(qureg, 0, 1, 15/16. + .01), Contains(<span class="stringliteral">&quot;probability&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;cannot exceed 15/16&quot;</span>) );</div>
<div class="line"><a name="l00703"></a><span class="lineno">  703</span>&#160;        }</div>
<div class="line"><a name="l00704"></a><span class="lineno">  704</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00705"></a><span class="lineno">  705</span>&#160;            </div>
<div class="line"><a name="l00706"></a><span class="lineno">  706</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00707"></a><span class="lineno">  707</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a>(vec, 0, 1, 0), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00708"></a><span class="lineno">  708</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00709"></a><span class="lineno">  709</span>&#160;        }</div>
<div class="line"><a name="l00710"></a><span class="lineno">  710</span>&#160;    }</div>
<div class="line"><a name="l00711"></a><span class="lineno">  711</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00712"></a><span class="lineno">  712</span>&#160;}</div>
<div class="line"><a name="l00713"></a><span class="lineno">  713</span>&#160; </div>
<div class="line"><a name="l00714"></a><span class="lineno">  714</span>&#160; </div>
<div class="line"><a name="l00715"></a><span class="lineno">  715</span>&#160; </div>
<div class="line"><a name="l00720"></a><span class="lineno"><a class="line" href="group__unittest.html#ga6133174f068561e9d899c059c39ed36c">  720</a></span>&#160;<a class="code" href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a>( <span class="stringliteral">&quot;mixTwoQubitKrausMap&quot;</span>, <span class="stringliteral">&quot;[decoherence]&quot;</span> ) {</div>
<div class="line"><a name="l00721"></a><span class="lineno">  721</span>&#160;    </div>
<div class="line"><a name="l00722"></a><span class="lineno">  722</span>&#160;    <a class="code" href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a>(qureg, ref);</div>
<div class="line"><a name="l00723"></a><span class="lineno">  723</span>&#160;    </div>
<div class="line"><a name="l00724"></a><span class="lineno">  724</span>&#160;    SECTION( <span class="stringliteral">&quot;correctness&quot;</span> ) {</div>
<div class="line"><a name="l00725"></a><span class="lineno">  725</span>&#160;        </div>
<div class="line"><a name="l00726"></a><span class="lineno">  726</span>&#160;        <span class="keywordtype">int</span> targ1 = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00727"></a><span class="lineno">  727</span>&#160;        <span class="keywordtype">int</span> targ2 = GENERATE_COPY( filter([=](<span class="keywordtype">int</span> t){ <span class="keywordflow">return</span> t!=targ1; }, range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>)) );</div>
<div class="line"><a name="l00728"></a><span class="lineno">  728</span>&#160;        <span class="keywordtype">int</span> numOps = GENERATE( range(1,17) ); <span class="comment">// max 16 inclusive</span></div>
<div class="line"><a name="l00729"></a><span class="lineno">  729</span>&#160;        std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(2, numOps);</div>
<div class="line"><a name="l00730"></a><span class="lineno">  730</span>&#160;        </div>
<div class="line"><a name="l00731"></a><span class="lineno">  731</span>&#160;        <a class="code" href="structComplexMatrix4.html">ComplexMatrix4</a> ops[numOps];</div>
<div class="line"><a name="l00732"></a><span class="lineno">  732</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00733"></a><span class="lineno">  733</span>&#160;            ops[i] = <a class="code" href="group__testutilities.html#ga216f7c25bbb0cf752d1b6fff5ea8197b">toComplexMatrix4</a>(matrs[i]);</div>
<div class="line"><a name="l00734"></a><span class="lineno">  734</span>&#160;        <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, targ1, targ2, ops, numOps);</div>
<div class="line"><a name="l00735"></a><span class="lineno">  735</span>&#160;        </div>
<div class="line"><a name="l00736"></a><span class="lineno">  736</span>&#160;        <span class="comment">// set ref -&gt; K_i ref K_i^dagger</span></div>
<div class="line"><a name="l00737"></a><span class="lineno">  737</span>&#160;        <span class="keywordtype">int</span> targs[2] = {targ1, targ2};</div>
<div class="line"><a name="l00738"></a><span class="lineno">  738</span>&#160;        <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matrRefs[numOps];</div>
<div class="line"><a name="l00739"></a><span class="lineno">  739</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++) {</div>
<div class="line"><a name="l00740"></a><span class="lineno">  740</span>&#160;            matrRefs[i] = ref;</div>
<div class="line"><a name="l00741"></a><span class="lineno">  741</span>&#160;            <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(matrRefs[i], targs, 2, matrs[i]);</div>
<div class="line"><a name="l00742"></a><span class="lineno">  742</span>&#160;        }</div>
<div class="line"><a name="l00743"></a><span class="lineno">  743</span>&#160;        ref = <a class="code" href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a>(ref.size());</div>
<div class="line"><a name="l00744"></a><span class="lineno">  744</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00745"></a><span class="lineno">  745</span>&#160;            ref += matrRefs[i];</div>
<div class="line"><a name="l00746"></a><span class="lineno">  746</span>&#160;        </div>
<div class="line"><a name="l00747"></a><span class="lineno">  747</span>&#160;        REQUIRE( <a class="code" href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a>(qureg, ref, 10*REAL_EPS) );</div>
<div class="line"><a name="l00748"></a><span class="lineno">  748</span>&#160;    }</div>
<div class="line"><a name="l00749"></a><span class="lineno">  749</span>&#160;    SECTION( <span class="stringliteral">&quot;input validation&quot;</span> ) {</div>
<div class="line"><a name="l00750"></a><span class="lineno">  750</span>&#160;        </div>
<div class="line"><a name="l00751"></a><span class="lineno">  751</span>&#160;        SECTION( <span class="stringliteral">&quot;number of operators&quot;</span> ) {</div>
<div class="line"><a name="l00752"></a><span class="lineno">  752</span>&#160;            </div>
<div class="line"><a name="l00753"></a><span class="lineno">  753</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE( 0, 17 );</div>
<div class="line"><a name="l00754"></a><span class="lineno">  754</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, 0,1, NULL, numOps), Contains(<span class="stringliteral">&quot;operators&quot;</span>) );</div>
<div class="line"><a name="l00755"></a><span class="lineno">  755</span>&#160;        }</div>
<div class="line"><a name="l00756"></a><span class="lineno">  756</span>&#160;        SECTION( <span class="stringliteral">&quot;trace preserving&quot;</span> ) {</div>
<div class="line"><a name="l00757"></a><span class="lineno">  757</span>&#160;            </div>
<div class="line"><a name="l00758"></a><span class="lineno">  758</span>&#160;            <span class="comment">// valid Kraus map</span></div>
<div class="line"><a name="l00759"></a><span class="lineno">  759</span>&#160;            <span class="keywordtype">int</span> numOps = GENERATE( range(1,16) );</div>
<div class="line"><a name="l00760"></a><span class="lineno">  760</span>&#160;            std::vector&lt;QMatrix&gt; matrs = <a class="code" href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a>(2, numOps);</div>
<div class="line"><a name="l00761"></a><span class="lineno">  761</span>&#160;            <a class="code" href="structComplexMatrix4.html">ComplexMatrix4</a> ops[numOps];</div>
<div class="line"><a name="l00762"></a><span class="lineno">  762</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i&lt;numOps; i++)</div>
<div class="line"><a name="l00763"></a><span class="lineno">  763</span>&#160;                ops[i] = <a class="code" href="group__testutilities.html#ga216f7c25bbb0cf752d1b6fff5ea8197b">toComplexMatrix4</a>(matrs[i]);</div>
<div class="line"><a name="l00764"></a><span class="lineno">  764</span>&#160;                </div>
<div class="line"><a name="l00765"></a><span class="lineno">  765</span>&#160;            <span class="comment">// make only one of the ops at a time invalid</span></div>
<div class="line"><a name="l00766"></a><span class="lineno">  766</span>&#160;            ops[GENERATE_REF( range(0,numOps) )].<a class="code" href="structComplexMatrix4.html#aeadc9893e1b16cdd585dac523e73926c">real</a>[0][0] = 0;</div>
<div class="line"><a name="l00767"></a><span class="lineno">  767</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, 0,1, ops, numOps), Contains(<span class="stringliteral">&quot;trace preserving&quot;</span>) );</div>
<div class="line"><a name="l00768"></a><span class="lineno">  768</span>&#160;        }</div>
<div class="line"><a name="l00769"></a><span class="lineno">  769</span>&#160;        SECTION( <span class="stringliteral">&quot;target collision&quot;</span> ) {</div>
<div class="line"><a name="l00770"></a><span class="lineno">  770</span>&#160;            </div>
<div class="line"><a name="l00771"></a><span class="lineno">  771</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00772"></a><span class="lineno">  772</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, target, target, NULL, 1), Contains(<span class="stringliteral">&quot;target qubits&quot;</span>) &amp;&amp; Contains(<span class="stringliteral">&quot;unique&quot;</span>) );</div>
<div class="line"><a name="l00773"></a><span class="lineno">  773</span>&#160;        }</div>
<div class="line"><a name="l00774"></a><span class="lineno">  774</span>&#160;        SECTION( <span class="stringliteral">&quot;qubit index&quot;</span> ) {</div>
<div class="line"><a name="l00775"></a><span class="lineno">  775</span>&#160;            </div>
<div class="line"><a name="l00776"></a><span class="lineno">  776</span>&#160;            <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00777"></a><span class="lineno">  777</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, 0,target, NULL, 1), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00778"></a><span class="lineno">  778</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, target,0, NULL, 1), Contains(<span class="stringliteral">&quot;Invalid target qubit&quot;</span>) );</div>
<div class="line"><a name="l00779"></a><span class="lineno">  779</span>&#160;        }</div>
<div class="line"><a name="l00780"></a><span class="lineno">  780</span>&#160;        SECTION( <span class="stringliteral">&quot;density-matrix&quot;</span> ) {</div>
<div class="line"><a name="l00781"></a><span class="lineno">  781</span>&#160;            </div>
<div class="line"><a name="l00782"></a><span class="lineno">  782</span>&#160;            <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00783"></a><span class="lineno">  783</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(vec, 0,1, NULL, 1), Contains(<span class="stringliteral">&quot;density matrices&quot;</span>) );</div>
<div class="line"><a name="l00784"></a><span class="lineno">  784</span>&#160;            <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00785"></a><span class="lineno">  785</span>&#160;        }</div>
<div class="line"><a name="l00786"></a><span class="lineno">  786</span>&#160;        SECTION( <span class="stringliteral">&quot;operators fit in node&quot;</span> ) {</div>
<div class="line"><a name="l00787"></a><span class="lineno">  787</span>&#160;            </div>
<div class="line"><a name="l00788"></a><span class="lineno">  788</span>&#160;            qureg.numAmpsPerChunk = 15; <span class="comment">// min 16</span></div>
<div class="line"><a name="l00789"></a><span class="lineno">  789</span>&#160;            REQUIRE_THROWS_WITH( <a class="code" href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a>(qureg, 0,1, NULL, 1), Contains(<span class="stringliteral">&quot;targets too many qubits&quot;</span>) );</div>
<div class="line"><a name="l00790"></a><span class="lineno">  790</span>&#160;        }        </div>
<div class="line"><a name="l00791"></a><span class="lineno">  791</span>&#160;    }</div>
<div class="line"><a name="l00792"></a><span class="lineno">  792</span>&#160;    <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(qureg, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00793"></a><span class="lineno">  793</span>&#160;}</div>
<div class="line"><a name="l00794"></a><span class="lineno">  794</span>&#160; </div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="agroup__decoherence_html_gacc2667ac87482a7afdcb711b74bf732e"><div class="ttname"><a href="group__decoherence.html#gacc2667ac87482a7afdcb711b74bf732e">mixDephasing</a></div><div class="ttdeci">void mixDephasing(Qureg qureg, int targetQubit, qreal prob)</div><div class="ttdoc">Mixes a density matrix qureg to induce single-qubit dephasing noise.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01001">QuEST.c:1001</a></div></div>
<div class="ttc" id="amain_8cpp_html_a718130cc1fc36cde991aff3d4c85c47d"><div class="ttname"><a href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a></div><div class="ttdeci">QuESTEnv QUEST_ENV</div><div class="ttdoc">The global QuESTEnv instance, to be created and destroyed once in this main(), so that the MPI enviro...</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00020">main.cpp:20</a></div></div>
<div class="ttc" id="astructComplexMatrix4_html_aeadc9893e1b16cdd585dac523e73926c"><div class="ttname"><a href="structComplexMatrix4.html#aeadc9893e1b16cdd585dac523e73926c">ComplexMatrix4::real</a></div><div class="ttdeci">qreal real[4][4]</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00127">QuEST.h:127</a></div></div>
<div class="ttc" id="agroup__decoherence_html_gae2ea9255b8b11a4a382231e5604dc4e3"><div class="ttname"><a href="group__decoherence.html#gae2ea9255b8b11a4a382231e5604dc4e3">mixDepolarising</a></div><div class="ttdeci">void mixDepolarising(Qureg qureg, int targetQubit, qreal prob)</div><div class="ttdoc">Mixes a density matrix qureg to induce single-qubit homogeneous depolarising noise.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01023">QuEST.c:1023</a></div></div>
<div class="ttc" id="agroup__decoherence_html_gaea8509011985522bae857bd3b13c34ed"><div class="ttname"><a href="group__decoherence.html#gaea8509011985522bae857bd3b13c34ed">mixDamping</a></div><div class="ttdeci">void mixDamping(Qureg qureg, int targetQubit, qreal prob)</div><div class="ttdoc">Mixes a density matrix qureg to induce single-qubit amplitude damping (decay to 0 state).</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01034">QuEST.c:1034</a></div></div>
<div class="ttc" id="agroup__type_html_ga9df2f3d86be4a6e9aad481665e5e6753"><div class="ttname"><a href="group__type.html#ga9df2f3d86be4a6e9aad481665e5e6753">destroyComplexMatrixN</a></div><div class="ttdeci">void destroyComplexMatrixN(ComplexMatrixN m)</div><div class="ttdoc">Destroy a ComplexMatrixN instance created with createComplexMatrixN()</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01120">QuEST.c:1120</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga0d3b30625e2350a1e837a0b259dd3b18"><div class="ttname"><a href="group__testutilities.html#ga0d3b30625e2350a1e837a0b259dd3b18">getRandomKrausMap</a></div><div class="ttdeci">std::vector&lt; QMatrix &gt; getRandomKrausMap(int numQb, int numOps)</div><div class="ttdoc">Returns a random Kraus map of #numOps 2^numQb-by-2^numQb operators, from an undisclosed distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00533">utilities.cpp:533</a></div></div>
<div class="ttc" id="agroup__type_html_ga815103261fb22ea9690e1427571df00e"><div class="ttname"><a href="group__type.html#ga815103261fb22ea9690e1427571df00e">createComplexMatrixN</a></div><div class="ttdeci">ComplexMatrixN createComplexMatrixN(int numQubits)</div><div class="ttdoc">Create (dynamically) a square complex matrix which can be passed to the multi-qubit general unitary f...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01099">QuEST.c:1099</a></div></div>
<div class="ttc" id="agroup__decoherence_html_gacb7faa9d8afb0f4270c866424fffbccd"><div class="ttname"><a href="group__decoherence.html#gacb7faa9d8afb0f4270c866424fffbccd">mixKrausMap</a></div><div class="ttdeci">void mixKrausMap(Qureg qureg, int target, ComplexMatrix2 *ops, int numOps)</div><div class="ttdoc">Apply a general single-qubit Kraus map to a density matrix, as specified by at most four Kraus operat...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01065">QuEST.c:1065</a></div></div>
<div class="ttc" id="autilities_8hpp_html_a2f52338126bb8cdf7fcf68eaf01c546a"><div class="ttname"><a href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a></div><div class="ttdeci">#define NUM_QUBITS</div><div class="ttdoc">The default number of qubits in the registers created for unit testing (both statevectors and density...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00036">utilities.hpp:36</a></div></div>
<div class="ttc" id="aQuEST_8h_html"><div class="ttname"><a href="QuEST_8h.html">QuEST.h</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gacd5aadbe10ecdedaa625f85171c0a3cd"><div class="ttname"><a href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a></div><div class="ttdeci">qreal getRandomReal(qreal min, qreal max)</div><div class="ttdoc">Returns a random real between min (inclusive) and max (exclusive), from the uniform distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00410">utilities.cpp:410</a></div></div>
<div class="ttc" id="agroup__decoherence_html_gacfc45a8fc86ee18f60866bbd0c874ed0"><div class="ttname"><a href="group__decoherence.html#gacfc45a8fc86ee18f60866bbd0c874ed0">mixTwoQubitDepolarising</a></div><div class="ttdeci">void mixTwoQubitDepolarising(Qureg qureg, int qubit1, int qubit2, qreal prob)</div><div class="ttdoc">Mixes a density matrix qureg to induce two-qubit homogeneous depolarising noise.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01042">QuEST.c:1042</a></div></div>
<div class="ttc" id="astructComplexMatrix4_html"><div class="ttname"><a href="structComplexMatrix4.html">ComplexMatrix4</a></div><div class="ttdoc">Represents a 4x4 matrix of complex numbers.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00125">QuEST.h:125</a></div></div>
<div class="ttc" id="astructComplexMatrixN_html"><div class="ttname"><a href="structComplexMatrixN.html">ComplexMatrixN</a></div><div class="ttdoc">Represents a general 2^N by 2^N matrix of complex numbers.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00136">QuEST.h:136</a></div></div>
<div class="ttc" id="agroup__type_html_ga7740e349b4f8bae6451547680f0ce2d6"><div class="ttname"><a href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a></div><div class="ttdeci">#define qreal</div></div>
<div class="ttc" id="agroup__testutilities_html_ga253946523907014c4f198d2bb38d4913"><div class="ttname"><a href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a></div><div class="ttdeci">QMatrix toQMatrix(ComplexMatrix2 src)</div><div class="ttdoc">Returns a copy of the given 2-by-2 matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00869">utilities.cpp:869</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga267884197cf7f1d428021cb12a57360c"><div class="ttname"><a href="group__testutilities.html#ga267884197cf7f1d428021cb12a57360c">calcLog2</a></div><div class="ttdeci">unsigned int calcLog2(long unsigned int num)</div><div class="ttdoc">returns log2 of numbers which must be gauranteed to be 2^n</div><div class="ttdef"><b>Definition:</b> <a href="QuEST__validation_8c_source.html#l00292">QuEST_validation.c:292</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga7f83695bea7d0332a577bca017dbb03c"><div class="ttname"><a href="group__testutilities.html#ga7f83695bea7d0332a577bca017dbb03c">toComplexMatrixN</a></div><div class="ttdeci">void toComplexMatrixN(QMatrix qm, ComplexMatrixN cm)</div><div class="ttdoc">Initialises cm with the values of qm.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00858">utilities.cpp:858</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga216f7c25bbb0cf752d1b6fff5ea8197b"><div class="ttname"><a href="group__testutilities.html#ga216f7c25bbb0cf752d1b6fff5ea8197b">toComplexMatrix4</a></div><div class="ttdeci">ComplexMatrix4 toComplexMatrix4(QMatrix qm)</div><div class="ttdoc">Returns a ComplexMatrix4 copy of QMatix qm.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00852">utilities.cpp:852</a></div></div>
<div class="ttc" id="agroup__type_html_ga8e1e6ad3254892edc2ee08712ea9d692"><div class="ttname"><a href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a></div><div class="ttdeci">void destroyQureg(Qureg qureg, QuESTEnv env)</div><div class="ttdoc">Deallocate a Qureg object representing a set of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00077">QuEST.c:77</a></div></div>
<div class="ttc" id="agroup__decoherence_html_ga2cf7dece0efea4207349f872cdcb7e81"><div class="ttname"><a href="group__decoherence.html#ga2cf7dece0efea4207349f872cdcb7e81">mixTwoQubitKrausMap</a></div><div class="ttdeci">void mixTwoQubitKrausMap(Qureg qureg, int target1, int target2, ComplexMatrix4 *ops, int numOps)</div><div class="ttdoc">Apply a general two-qubit Kraus map to a density matrix, as specified by at most sixteen Kraus operat...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01075">QuEST.c:1075</a></div></div>
<div class="ttc" id="astructComplexMatrixN_html_a446e8a077597e4f76049d547df0c9738"><div class="ttname"><a href="structComplexMatrixN.html#a446e8a077597e4f76049d547df0c9738">ComplexMatrixN::real</a></div><div class="ttdeci">qreal ** real</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00139">QuEST.h:139</a></div></div>
<div class="ttc" id="agroup__debug_html_gaa696c94112e5fbbc996af10dfc4e2c1c"><div class="ttname"><a href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a></div><div class="ttdeci">void initDebugState(Qureg qureg)</div><div class="ttdoc">Initialises qureg to be in the un-normalised, non-physical state with with n-th complex amplitude (2n...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01308">QuEST.c:1308</a></div></div>
<div class="ttc" id="astructQureg_html"><div class="ttname"><a href="structQureg.html">Qureg</a></div><div class="ttdoc">Represents a system of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00203">QuEST.h:203</a></div></div>
<div class="ttc" id="agroup__decoherence_html_ga14282bdb1dc65760ca9ecbe6305eb770"><div class="ttname"><a href="group__decoherence.html#ga14282bdb1dc65760ca9ecbe6305eb770">mixTwoQubitDephasing</a></div><div class="ttdeci">void mixTwoQubitDephasing(Qureg qureg, int qubit1, int qubit2, qreal prob)</div><div class="ttdoc">Mixes a density matrix qureg to induce two-qubit dephasing noise.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01011">QuEST.c:1011</a></div></div>
<div class="ttc" id="astructComplexMatrix2_html_a3ea98d545b67a190ee6abe936c72076f"><div class="ttname"><a href="structComplexMatrix2.html#a3ea98d545b67a190ee6abe936c72076f">ComplexMatrix2::real</a></div><div class="ttdeci">qreal real[2][2]</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00116">QuEST.h:116</a></div></div>
<div class="ttc" id="atest__decoherence_8cpp_html_ae828ab685c6e8b0cec317b7a6c46963a"><div class="ttname"><a href="test__decoherence_8cpp.html#ae828ab685c6e8b0cec317b7a6c46963a">PREPARE_TEST</a></div><div class="ttdeci">#define PREPARE_TEST(qureg, ref)</div><div class="ttdoc">Prepares a density matrix in the debug state, and the reference QMatrix.</div><div class="ttdef"><b>Definition:</b> <a href="test__decoherence_8cpp_source.html#l00009">test_decoherence.cpp:9</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gabbc686f5f40eff22e08a2b2012ac4e41"><div class="ttname"><a href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; qcomp &gt; &gt; QMatrix</div><div class="ttdoc">A complex square matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00049">utilities.hpp:49</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga731a7a71755c25ebe96e742e3fbe5812"><div class="ttname"><a href="group__testutilities.html#ga731a7a71755c25ebe96e742e3fbe5812">toComplexMatrix2</a></div><div class="ttdeci">ComplexMatrix2 toComplexMatrix2(QMatrix qm)</div><div class="ttdoc">Returns a ComplexMatrix2 copy of QMatix qm.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00846">utilities.cpp:846</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga35add15146aa606b256df79334b867d5"><div class="ttname"><a href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a></div><div class="ttdeci">Catch::Generators::GeneratorWrapper&lt; int * &gt; sublists(int *list, int len, int sublen)</div><div class="ttdoc">Returns a Catch2 generator of every length-sublen sublist of length-len list, in increasing lexograph...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l01199">utilities.cpp:1199</a></div></div>
<div class="ttc" id="astructQureg_html_ad08dff5316b8937f4b2a1417591543dc"><div class="ttname"><a href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">Qureg::numQubitsRepresented</a></div><div class="ttdeci">int numQubitsRepresented</div><div class="ttdoc">The number of qubits represented in either the state-vector or density matrix.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00208">QuEST.h:208</a></div></div>
<div class="ttc" id="agroup__decoherence_html_ga97d563fa8f4bc51f720bbb653f5480b3"><div class="ttname"><a href="group__decoherence.html#ga97d563fa8f4bc51f720bbb653f5480b3">mixDensityMatrix</a></div><div class="ttdeci">void mixDensityMatrix(Qureg combineQureg, qreal otherProb, Qureg otherQureg)</div><div class="ttdoc">Modifies combineQureg to become (1-prob)combineProb + prob otherQureg.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00772">QuEST.c:772</a></div></div>
<div class="ttc" id="agroup__type_html_ga3392816c0643414165c2f5caeec17df0"><div class="ttname"><a href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a></div><div class="ttdeci">Qureg createQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg object representing a set of qubits which will remain in a pure state.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00036">QuEST.c:36</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga50616e813b0d0aa4f8220785d780cdff"><div class="ttname"><a href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a></div><div class="ttdeci">QMatrix getKroneckerProduct(QMatrix a, QMatrix b)</div><div class="ttdoc">Returns the kronecker product of a and b, where a and b are square but possibly differently-sized com...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00169">utilities.cpp:169</a></div></div>
<div class="ttc" id="agroup__decoherence_html_ga9a77f84e1aa7d25d036b14d7d0cd8b61"><div class="ttname"><a href="group__decoherence.html#ga9a77f84e1aa7d25d036b14d7d0cd8b61">mixPauli</a></div><div class="ttdeci">void mixPauli(Qureg qureg, int qubit, qreal probX, qreal probY, qreal probZ)</div><div class="ttdoc">Mixes a density matrix qureg to induce general single-qubit Pauli noise.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01054">QuEST.c:1054</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga6ccbb15b0f234e926be96a153181b63a"><div class="ttname"><a href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a></div><div class="ttdeci">QMatrix getZeroMatrix(size_t dim)</div><div class="ttdoc">Returns a dim-by-dim square complex matrix, initialised to all zeroes.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00143">utilities.cpp:143</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga45cc399adad2e2a67b0124851189fae5"><div class="ttname"><a href="group__testutilities.html#ga45cc399adad2e2a67b0124851189fae5">areEqual</a></div><div class="ttdeci">bool areEqual(QVector a, QVector b)</div><div class="ttdoc">Returns true if the absolute value of the difference between every amplitude in vectors a and b is le...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00387">utilities.cpp:387</a></div></div>
<div class="ttc" id="agroup__type_html_ga93e55b6650b408abb30a1d4a8bce757c"><div class="ttname"><a href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a></div><div class="ttdeci">Qureg createDensityQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg for qubits which are represented by a density matrix, and can be in mixed states.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00050">QuEST.c:50</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga731c2de4d491629d806a03e0aea2f3a3"><div class="ttname"><a href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a></div><div class="ttdeci">void applyReferenceOp(QVector &amp;state, int *ctrls, int numCtrls, int *targs, int numTargs, QMatrix op)</div><div class="ttdoc">Modifies the state-vector state to be the result of applying the multi-target operator matrix op,...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00573">utilities.cpp:573</a></div></div>
<div class="ttc" id="autilities_8hpp_html"><div class="ttname"><a href="utilities_8hpp.html">utilities.hpp</a></div></div>
<div class="ttc" id="agroup__unittest_html_ga6b6a9b1ee734f0ab27cbfbb575bc7b77"><div class="ttname"><a href="group__unittest.html#ga6b6a9b1ee734f0ab27cbfbb575bc7b77">TEST_CASE</a></div><div class="ttdeci">TEST_CASE(&quot;mixDamping&quot;, &quot;[decoherence]&quot;)</div><div class="ttdef"><b>Definition:</b> <a href="test__decoherence_8cpp_source.html#l00023">test_decoherence.cpp:23</a></div></div>
<div class="ttc" id="agroup__decoherence_html_ga65b4c0944090fae78a37ba3b94811ace"><div class="ttname"><a href="group__decoherence.html#ga65b4c0944090fae78a37ba3b94811ace">mixMultiQubitKrausMap</a></div><div class="ttdeci">void mixMultiQubitKrausMap(Qureg qureg, int *targets, int numTargets, ComplexMatrixN *ops, int numOps)</div><div class="ttdoc">Apply a general N-qubit Kraus map to a density matrix, as specified by at most (2N)^2 Kraus operators...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01085">QuEST.c:1085</a></div></div>
<div class="ttc" id="astructComplexMatrix2_html"><div class="ttname"><a href="structComplexMatrix2.html">ComplexMatrix2</a></div><div class="ttdoc">Represents a 2x2 matrix of complex numbers.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00114">QuEST.h:114</a></div></div>
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